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Finding the Third Proportional to 27,098 and 39,591

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Solution

The third proportional to 27,098 and 39,591 is: 57,843.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,098 : 39,591 = 39,591 : x
  2. Step 2: Convert to fraction form
    27,098/39,591 = 39,591/x
  3. Step 3: Cross multiply
    27,098x = 39,591 × 39,591
  4. Step 4: Simplify right side
    27,098x = 1,567,447,281
  5. Step 5: Solve for x
    x = 1,567,447,281/27,098
  6. Step 6: Final answer
    x = 57,843.65

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.